There are nine categories of hand when using a standard 52-card deck, except under ace-to-five low rules where straights, flushes 🫰 and straight flushes are not recognized. An additional category, five of a kind, exists when using one or more wild 🫰 cards. The fewer hands a category contains, the higher its rank.[9] There are 52 ! ( 52 − 5 ) 🫰 ! = 311,875,200 {\displaystyle {\begin{matrix}{\frac {52!}{(52-5)!}}=311{,}875{,}200\end{matrix}}} ways to deal five cards from the deck but only 52 ! ( 52 🫰 − 5 ) ! 5 ! = 2,598,960 {\displaystyle {\begin{matrix}{\frac {52!}{(52-5)!5!}}=2{,}598{,}960\end{matrix}}} distinct hands, because the order in which cards are 🫰 dealt or arranged in a hand does not matter.[10] Moreover, since hands differing only by suit are of equal rank, 🫰 there are only 7,462 distinct hand ranks.[11]

A ten-high straight

In community card games, such as Texas hold 'em, three of a 🫰 kind is called a set only when it comprises a pocket pair and a third card on the board.[24]

References [ 🫰 edit ]